{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "205909dd",
   "metadata": {},
   "source": [
    "#  第三讲 随机网络实践二"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cf41fb58",
   "metadata": {},
   "outputs": [],
   "source": [
    "#!/usr/bin/python3\n",
    "# -*- coding: utf-8 -*-\n",
    "# Author ： 单哥的科研日常\n",
    "# 关注B站和公众号：单哥的科研日常，获取更多讲解教程"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "974326f5-a713-46e8-9779-f2d79ffe6cad",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入库\n",
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math\n",
    "import scipy\n",
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d689aed",
   "metadata": {},
   "source": [
    "### 实验环境：\n",
    "### Python版本==3.9.16, networkx==3.0, matplotlib==3.6.3, numpy==1.24.2, scipy==1.10.1.0, pandas==1.5.3, decimal=1.70,  pygraphviz==1.9, igraph==0.10.4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3978aabb",
   "metadata": {},
   "source": [
    "## 3. ER随机网络的结构特性"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a259116",
   "metadata": {},
   "source": [
    "### 编程实践：绘制不同规模随机网络的度分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4ee9f4f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义求度分布的函数\n",
    "def get_pdf(G, kmin, kmax):\n",
    "    k = list(range(kmin, kmax+1))  # 获取所有可能的度值\n",
    "    N = len(G.nodes())\n",
    "    \n",
    "    Pk = []\n",
    "    for ki in k:\n",
    "        c = 0\n",
    "        for i in G.nodes():\n",
    "            if G.degree(i) == ki:  \n",
    "                c += 1 \n",
    "\n",
    "        Pk.append(c/N)     \n",
    "    \n",
    "    return k, Pk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e90a644f",
   "metadata": {},
   "outputs": [],
   "source": [
    "samples = 100  # 统计平均\n",
    "N = [100,1000]\n",
    "# 为了便于统计平均，指定区间[20,80]\n",
    "kmin, kmax, avk = 20, 80, 50\n",
    "s1 = np.zeros(kmax-kmin+1)\n",
    "s2 = np.zeros(kmax-kmin+1)\n",
    "for i in range(samples):\n",
    "    ER1 = nx.gnp_random_graph(N[0], avk/N[0])\n",
    "    x1, y1 = get_pdf(ER1, kmin, kmax)\n",
    "    ER2 = nx.gnp_random_graph(N[1], avk/N[1])\n",
    "    x2, y2 = get_pdf(ER2, kmin, kmax)\n",
    "    \n",
    "    s1 += np.array(y1)\n",
    "    s2 += np.array(y2)\n",
    "\n",
    "    \n",
    "# 计算二项分布理论值\n",
    "n = 100\n",
    "p = 0.5\n",
    "k = np.arange(20,81)\n",
    "pk_b = stats.binom.pmf(k,n,p)\n",
    "\n",
    "# 计算泊松分布理论值\n",
    "pk_p = [np.exp(-avk)*(avk**ki)/math.factorial(ki) for ki in range(kmin,kmax+1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f32200b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(20.0, 80.0)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,4))\n",
    "plt.plot(x1, s1/samples, 'ro', label='$N = 100$')\n",
    "plt.plot(x2, s2/samples, 'bs', label='$N = 1000$')\n",
    "plt.plot(x2, pk_b, 'g-', label='binomial')\n",
    "plt.plot(x2, pk_p, 'r-', label='poisson')\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$k$\")\n",
    "plt.ylabel(\"$p_k$\")\n",
    "plt.xlim([20,80])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9365cae2",
   "metadata": {},
   "source": [
    "### 编程实践：测量/绘制真实网络的度分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a172f90b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from decimal import Decimal   # python自带，不用自己安装"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "831ec787",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "192244 23133 2018\n"
     ]
    }
   ],
   "source": [
    "# 加载三个真实数据集\n",
    "# 1. internet网络\n",
    "df1 = pd.read_csv(\"router_internet.csv\")\n",
    "G1 = nx.from_pandas_edgelist(df1, 'source', 'target', create_using = nx.Graph())\n",
    "# 2. 科学合作网络\n",
    "df2 = pd.read_csv(\"citation.csv\")\n",
    "G2 = nx.from_pandas_edgelist(df2, 'source', 'target', create_using = nx.Graph())\n",
    "# 3. 蛋白质交互网络\n",
    "df3 = pd.read_csv(\"protein_interaction.csv\")\n",
    "G3 = nx.from_pandas_edgelist(df3, 'source', 'target', create_using = nx.Graph())\n",
    "print(len(G1.nodes()),len(G2.nodes()),len(G3.nodes()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ef9f6f94",
   "metadata": {},
   "outputs": [],
   "source": [
    "deg1 = [G1.degree(i) for i in G1.nodes()]\n",
    "kmin1, kmax1 = min(deg1), max(deg1)\n",
    "\n",
    "deg2 = [G2.degree(i) for i in G2.nodes()]\n",
    "kmin2, kmax2 = min(deg2), max(deg2)\n",
    "\n",
    "deg3 = [G3.degree(i) for i in G3.nodes()]\n",
    "kmin3, kmax3 = min(deg3), max(deg3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0f62524b",
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[9], line 2\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[38;5;66;03m# 耐心等待，这三行程序比较耗时\u001b[39;00m\n\u001b[1;32m----> 2\u001b[0m k1, Pk1 \u001b[38;5;241m=\u001b[39m \u001b[43mget_pdf\u001b[49m\u001b[43m(\u001b[49m\u001b[43mG1\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mkmin1\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mkmax1\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m      3\u001b[0m k2, Pk2 \u001b[38;5;241m=\u001b[39m get_pdf(G2, kmin2, kmax2)\n\u001b[0;32m      4\u001b[0m k3, Pk3 \u001b[38;5;241m=\u001b[39m get_pdf(G3, kmin3, kmax3)\n",
      "Cell \u001b[1;32mIn[3], line 10\u001b[0m, in \u001b[0;36mget_pdf\u001b[1;34m(G, kmin, kmax)\u001b[0m\n\u001b[0;32m      8\u001b[0m c \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m0\u001b[39m\n\u001b[0;32m      9\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m G\u001b[38;5;241m.\u001b[39mnodes():\n\u001b[1;32m---> 10\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[43mG\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mdegree\u001b[49m\u001b[43m(\u001b[49m\u001b[43mi\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;241m==\u001b[39m ki:  \n\u001b[0;32m     11\u001b[0m         c \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[38;5;241m1\u001b[39m \n\u001b[0;32m     13\u001b[0m Pk\u001b[38;5;241m.\u001b[39mappend(c\u001b[38;5;241m/\u001b[39mN)     \n",
      "File \u001b[1;32mD:\\Miniconda3\\envs\\complex_network_two\\lib\\site-packages\\networkx\\classes\\reportviews.py:431\u001b[0m, in \u001b[0;36mDiDegreeView.__call__\u001b[1;34m(self, nbunch, weight)\u001b[0m\n\u001b[0;32m    429\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[0;32m    430\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m nbunch \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_nodes:\n\u001b[1;32m--> 431\u001b[0m         \u001b[38;5;28;01mif\u001b[39;00m weight \u001b[38;5;241m==\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_weight\u001b[49m:\n\u001b[0;32m    432\u001b[0m             \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m[nbunch]\n\u001b[0;32m    433\u001b[0m         \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m\u001b[38;5;18m__class__\u001b[39m(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_graph, \u001b[38;5;28;01mNone\u001b[39;00m, weight)[nbunch]\n",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "# 耐心等待，这三行程序比较耗时\n",
    "k1, Pk1 = get_pdf(G1, kmin1, kmax1)\n",
    "k2, Pk2 = get_pdf(G2, kmin2, kmax2)\n",
    "k3, Pk3 = get_pdf(G3, kmin3, kmax3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c0464763",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 绘制度分布\n",
    "avk1 = sum(deg1)/len(G1.nodes())\n",
    "avk2 = sum(deg2)/len(G2.nodes())\n",
    "avk3 = sum(deg3)/len(G3.nodes())\n",
    "\n",
    "# 使用以下方法可能会报错：OverflowError: int too large to convert to float\n",
    "# pk_p1 = [np.exp(-avk1)*(avk1**ki)/math.factorial(ki) for ki in range(kmin1, kmax1+1)]\n",
    "# pk_p2 = [np.exp(-avk2)*(avk2**ki)/math.factorial(ki) for ki in range(kmin2, kmax2+1)]\n",
    "# pk_p3 = [np.exp(-avk3)*(avk3**ki)/math.factorial(ki) for ki in range(kmin3, kmax3+1)]\n",
    "\n",
    "# 计算每个网络平均度值，并以此绘制泊松分布\n",
    "pk_p1 = [Decimal(np.exp(-avk1))*(Decimal(avk1)**Decimal(ki))/Decimal(np.math.factorial(ki)) for ki in range(kmin1, kmax1+1)]\n",
    "pk_p2 = [Decimal(np.exp(-avk2))*(Decimal(avk2)**Decimal(ki))/Decimal(np.math.factorial(ki)) for ki in range(kmin2, kmax2+1)]\n",
    "pk_p3 = [Decimal(np.exp(-avk3))*(Decimal(avk3)**Decimal(ki))/Decimal(np.math.factorial(ki)) for ki in range(kmin3, kmax3+1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3f82de3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "\n",
    "plt.subplot(131)\n",
    "plt.plot(k1, Pk1, 'ro', label='Internet')\n",
    "plt.plot(list(range(kmin1, kmax1+1)), pk_p1, 'g-', label='poisson')\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$k$\")\n",
    "plt.ylabel(\"$p_k$\")\n",
    "plt.ylim([1e-6,1])\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "\n",
    "plt.subplot(132)\n",
    "plt.plot(k2, Pk2, 'ro', label='collaboration')\n",
    "plt.plot(list(range(kmin2, kmax2+1)), pk_p2, 'g-', label='poisson')\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$k$\")\n",
    "plt.ylabel(\"$p_k$\")\n",
    "plt.ylim([1e-5,1])\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "\n",
    "plt.subplot(133)\n",
    "plt.plot(k3, Pk3, 'ro', label='protein')\n",
    "plt.plot(list(range(kmin3, kmax3+1)), pk_p3, 'g-', label='poisson')\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$k$\")\n",
    "plt.ylabel(\"$p_k$\")\n",
    "plt.ylim([1e-4,1])\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16c41fdc",
   "metadata": {},
   "source": [
    "### 编程实践：计算ER随机网络的平均最短路径长度和平均集聚系数\n",
    "\n",
    "networkx计算大型网络的平均最短路径长度比较耗时，为此，我们考虑使用igraph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "7aa208a5-b86f-499f-bc89-45727d5c0206",
   "metadata": {},
   "outputs": [],
   "source": [
    "import igraph as ig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dc07dda7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# def cal_by_networkx(samples, N):\n",
    "#     avl, clu = [], []\n",
    "#     t_avl, t_clu = [], []\n",
    "#     for n in N:\n",
    "#         p = 10 / n\n",
    "#         avl0 = 0\n",
    "#         clu0 = 0\n",
    "#         t_avl0 = 0\n",
    "#         t_clu0 = 0\n",
    "#         for i in range(samples):\n",
    "#             Ger = nx.gnp_random_graph(n,p)\n",
    "#             avk = sum([Ger.degree(j) for j in Ger.nodes()]) / n\n",
    "#             # 理论近似值\n",
    "#             t_avl0 += np.log(n) / np.log(avk)\n",
    "#             t_clu0 += avk / n\n",
    "\n",
    "#             # 模拟值\n",
    "#             # 如果Ger是连通的\n",
    "#             if nx.is_connected(Ger):\n",
    "#                 avl0 += nx.average_shortest_path_length(Ger)\n",
    "#             else: # 如果Ger是不连通的，用最大连通子图的平均距离代替整个网络的平均距离\n",
    "#                 Gcc = sorted(nx.connected_components(Ger), key=len, reverse=True)\n",
    "#                 # 得到图Ger的最大连通组件\n",
    "#                 LCC = Ger.subgraph(Gcc[0])\n",
    "#                 avl0 += nx.average_shortest_path_length(LCC)\n",
    "\n",
    "#             clu0 += nx.average_clustering(Ger)\n",
    "#         avl.append(avl0 / samples)\n",
    "#         clu.append(clu0 / samples)\n",
    "#         t_avl.append(t_avl0 / samples)\n",
    "#         t_clu.append(t_clu0/samples)\n",
    "#     return avl, clu, t_avl, t_clu\n",
    "\n",
    "\n",
    "\n",
    "def cal_by_igraph(samples, N):\n",
    "    avl, clu = [], []\n",
    "    t_avl, t_clu = [], []\n",
    "    for n in N:\n",
    "        m = 5*n\n",
    "        avl0 = 0\n",
    "        clu0 = 0\n",
    "        t_avl0 = 0\n",
    "        t_clu0 = 0\n",
    "        for i in range(samples):\n",
    "            Ger = ig.Graph.Erdos_Renyi(n=n, m=m) \n",
    "            avk = sum(Ger.degree()) / n\n",
    "            # 理论近似值\n",
    "            t_avl0 += np.log(n) / np.log(avk)\n",
    "            t_clu0 += avk / n\n",
    "\n",
    "            # 模拟值\n",
    "            avl0 += Ger.average_path_length()\n",
    "            clu0 += Ger.transitivity_avglocal_undirected(mode='zero')\n",
    "\n",
    "        avl.append(avl0 / samples)\n",
    "        clu.append(clu0 / samples)\n",
    "        t_avl.append(t_avl0 / samples)\n",
    "        t_clu.append(t_clu0/samples)\n",
    "    return avl, clu, t_avl, t_clu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "44c3d5bf",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 耐心等待，计算这些指标比较耗时\n",
    "samples = 10  # 为了使结果更加精确，通常需要将samples设置为较大的值.这里为了快速得到结果，可以取为1个样本\n",
    "N = [100,200,300,500,700,1000,2000,5000]\n",
    "# avl_0, clu_0, t_avl0, t_clu0 = cal_by_networkx(samples, N) # 速度较慢\n",
    "avl_0, clu_0, t_avl0, t_clu0 = cal_by_igraph(samples, N)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "850b4026",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.subplot(121)\n",
    "plt.plot(N, avl_0, 'ro', label='simulation')\n",
    "plt.plot(N, t_avl0, 'r--', label='theory predicts')\n",
    "plt.title(\"average path length\")\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$N$\")\n",
    "plt.ylabel(\"$<l>$\")\n",
    "plt.xscale(\"log\")\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.plot(N, clu_0, 'ro', label='simulation')\n",
    "plt.plot(N, t_clu0, 'r--', label='theory predicts')\n",
    "plt.title(\"average clustering\")\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$N$\")\n",
    "plt.ylabel(\"$<C>$\")\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7caf96e4",
   "metadata": {},
   "source": [
    "### 编程实践：可视化ER随机网络的巨连通分量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5cdf5f9b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 以下代码搬运的是NetworkX官方示例：\n",
    "# https://networkx.org/documentation/stable/auto_examples/graphviz_layout/plot_giant_component.html#sphx-glr-auto-examples-graphviz-layout-plot-giant-component-py"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "994949e8",
   "metadata": {},
   "source": [
    "### 说明：1、先安装graphviz，下载地址：https://graphviz.org/download/\n",
    "![graphviz](graphviz.png)\n",
    "### 2、将Graphviz \\ bin文件夹添加到您的用户或系统PATH\n",
    "### 3、检查 ：打开命令提示符并执行twopi -V。您应该能够看到控制台上打印的Graphviz版本。\n",
    "### 4、下载pygraphviz文件（.whl文件），如pygraphviz-1.9-cp39-cp39-win_amd64.whl，地址：https://www.lfd.uci.edu/~gohlke/pythonlibs/#pygraphviz\n",
    "### 5、将pygraphviz文件放置python安装路径Lib下的site-packages文件夹，打开命令窗口进入这个目录，输入pip install pygraphviz-1.9-cp39-cp39-win_amd64.whl安装，至此安装完毕！（亲测有效）\n",
    "\n",
    "\n",
    "### 安装参考链接：https://www.codingdict.com/questions/175408"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a20415e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 500  # 500 nodes\n",
    "# p value at which giant component (of size log(n) nodes) is expected\n",
    "p_giant = 1.0 / (n - 1)\n",
    "# p value at which graph is expected to become completely connected\n",
    "p_conn = math.log(n) / n\n",
    "\n",
    "# the following range of p values should be close to the threshold\n",
    "pvals = [0.001, 0.002, 0.005, 0.012]\n",
    "\n",
    "\n",
    "fig, axes = plt.subplots(2, 2)\n",
    "for p, ax, seed in zip(pvals, axes.ravel(), range(len(pvals))):\n",
    "    #### generate graph ####\n",
    "    G = nx.binomial_graph(n, p, seed=seed)\n",
    "    # identify connected/disconnected nodes\n",
    "    connected = [n for n, d in G.degree() if d > 0]\n",
    "    disconnected = list(set(G.nodes()) - set(connected))\n",
    "    # identify largest connected component\n",
    "    Gcc = sorted(nx.connected_components(G), key=len, reverse=True)\n",
    "    G0 = G.subgraph(Gcc[0])\n",
    "    #### draw graph ####\n",
    "    pos = nx.nx_agraph.graphviz_layout(G)\n",
    "    ax.set_title(f\"p = {p:.3f}\")\n",
    "    # draw largest connected component\n",
    "    options = {\"ax\": ax, \"edge_color\": \"tab:red\"}\n",
    "    nx.draw_networkx_edges(G0, pos, width=6.0, **options)\n",
    "    # draw other connected components\n",
    "    for Gi in Gcc[1:]:\n",
    "        if len(Gi) > 1:\n",
    "            nx.draw_networkx_edges(G.subgraph(Gi), pos, alpha=0.3, width=5.0, **options)\n",
    "    # draw connected/disconnected nodes\n",
    "    options = {\"ax\": ax, \"node_size\": 30, \"edgecolors\": \"white\"}\n",
    "    nx.draw(G, pos, nodelist=connected, **options)\n",
    "    nx.draw(G, pos, nodelist=disconnected, alpha=0.25, **options)\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7404959f",
   "metadata": {},
   "source": [
    "### 编程实践：计算ER随机网络的巨连通分量的相对大小"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "9b1346ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_largest_connected_component_networkx(n, avki, samples):\n",
    "    s0 = 0\n",
    "    for i in range(samples):\n",
    "        m = int(n*avki/2)\n",
    "        G = nx.gnm_random_graph(n, m)\n",
    "        Gcc = sorted(nx.connected_components(G), key=len, reverse=True)\n",
    "        # G0 = G.subgraph(Gcc[0])\n",
    "        s0 += len(Gcc[0])/n\n",
    "    \n",
    "    return s0/samples\n",
    "\n",
    "\n",
    "def get_largest_connected_component_igraph(n, avki, samples):\n",
    "    s0 = 0\n",
    "    for i in range(samples):\n",
    "        m = int(n*avki/2)\n",
    "        Ger = ig.Graph.Erdos_Renyi(n=n, m=m) \n",
    "        components = Ger.connected_components(mode='strong')\n",
    "        s0 += len(components[0])/n\n",
    "    \n",
    "    return s0/samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "id": "fb81b1cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "n, samples = 1000, 10\n",
    "avk = np.linspace(0, 5, 51)\n",
    "\n",
    "S = []\n",
    "for avki in avk:\n",
    "    sp = get_largest_connected_component_networkx(n, avki, samples)\n",
    "    S.append(sp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "3f2b5b9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$S$')"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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QBdgHA7BT610609PN8DBpkrkd+MSJ0qpVZj926gQQZQgYgF187dLZo4d04oSUnS2VlZ0MEuzUCSDKEDAAO/jbpfPECfP+t7+V+vQJf10AYBHWYADh1tEunZL04IPs0gkgqhEwgHDraJdOiV06AUQ9AgYQbuzSCSAOEDCAcGOXTgBxgIABhFt+fvu9LVpjl04AMYCAAYSb0yk98YTvY+zSCSBGEDAAO3gXeSac8q8gu3QCiBHsgwGEW22ttGCB+XjpUuncc9mlE0DMIWAA4XbffeaFzHJypNtuaz+KAQAxgP+yAeH08cfS88+bj//0J8IFgJjFf92AcDEM6f/9P/P+5z+XLr7Y7ooAoNsQMIBw+c//NC/FfsYZ0iOP2F0NAHQr1mAA3cl7OfavvpJ+/3uz7b77pMGD7a0LALoZAQPoLr4ux+50Sj/4gX01AUCYEDCA7uDvcuxut3TTTVKvXux1ASCmsQYDsFowl2OfPZvLsQOIaQQMwGodXY7dMLgcO4CYR8AArMbl2AGAgAFYjsuxAwABA7Bcfr6UkeH/OJdjBxAHCBiA1ZxO6fLLfR/jcuwA4gQBA7Bafb30X/9lPh4woO0xLscOIE6wDwZgtQcfNK+W+pOfSFu2SH/7G5djBxB3CBiAlXbvlp56ynz82GNSz57+p0sAIIYxRQJY6d57pRMnpCuvlK64wu5qAMA2tgeMJUuWKCsrS71791Zubq62bt0asP93332nGTNmKD09XYmJiTrvvPO0du3aMFULBLBli/Tqq+ZCzkcftbsaALCVrVMky5cvV1FRkZYuXarc3FyVlpZqwoQJ2rVrl1JSUtr1P3bsmMaNG6eUlBStXLlSGRkZ2rNnj/r16xf+4oHWDEO66y7z8S9+If34x7aWAwB2cxhGoAsmdK/c3FyNGjVKixcvliR5PB65XC7NnDlTc+bMadd/6dKleuyxx7Rz50717NmzS5/Z2Nio5ORkNTQ0KCkpKaT6Eee8l2I/eFD68kvp/vul006TvvjCPFsEAGJMZ35DbZsiOXbsmLZt26aCgoKTxSQkqKCgQJs3b/b5mtWrVysvL08zZsxQamqqhg0bpocffljuABeNam5uVmNjY5sbELLycikrSxo71rw66v33m+1XXUW4AADZGDDq6+vldruVmprapj01NVU1NTU+X/PVV19p5cqVcrvdWrt2re6//3498cQTeuihh/x+TklJiZKTk1tuLpfL0r8Dcch7KXZfFzRbtco8DgBxzvZFnp3h8XiUkpKiZ599Vjk5OZoyZYruu+8+LV261O9riouL1dDQ0HKrrq4OY8WIOVyKHQCCYtsiz4EDB8rpdKq2trZNe21trdLS0ny+Jj09XT179pSz1UZFP/rRj1RTU6Njx46pV69e7V6TmJioxMREa4tH/OrMpdjZ/wJAHLNtBKNXr17KyclRRUVFS5vH41FFRYXy8vJ8vuaSSy7R7t275fF4Wtq++OILpaen+wwXgOW4FDsABMXWKZKioiI999xzeumll7Rjxw7dcccdampq0vTp0yVJU6dOVXFxcUv/O+64Q99++61mzZqlL774QmvWrNHDDz+sGTNm2PUnIN5wKXYACIqt+2BMmTJFdXV1mjdvnmpqapSdna1169a1LPzcu3evEhJOZiCXy6X169frd7/7nYYPH66MjAzNmjVL99xzj11/AuJNfr55lsj+/b7XYTgc5nEuxQ4gztm6D4Yd2AcDISsvl264oX2791LsXC0VQIyKin0wgKg1bpzUp0/7di7FDgAtuJoq0FlPPSV9/7103nnm40OHuBQ7AJyCgAF0RlOT9MQT5uP77uOKqQDgB1MkQGc884xUVycNGWJuEQ4A8ImAAQTrf/9Xeuwx8/G990o9GAAEAH8IGECw/vxnqaZGOvts6ZZb7K4GACIaAQMIRnOz9Mgj5uM5cyR2jgWAgAgYQDBefNHcXCsjQ/q/nWYBAP4RMICOHD8ulZSYj++5R+LieQDQIVapAf643eZVUV95RdqzR0pJkW6/3e6qACAqMIIB+FJeLmVlSWPHSs8+a7Y1N0t//autZQFAtCBgAKcqL5cmT5b27Wvb3thotpeX21MXAEQRAgbQmtstzZrl+0qp3rbZs81+AAC/CBhAa5s2tR+5aM0wpOpqsx8AwC8CBtDawYPW9gOAOEXAAFpLT7e2HwDEKQIG0Fp+vpSZKTkcvo87HJLLZfYDAPhFwABaczqlRYt8L/L0ho7SUrMfAMCvoAPGZ599pt27d3dnLUBkKCyUcnLat2dmSitXmscBAAEFvZNnUVGRLrzwQj355JMtbWvWrFFZWZlSUlI0a9YsZWVldUeNQHg1N0s7dpiPn3tOOuMMc81Ffj4jFwAQJIdh+BoLbi8tLU2vvfaaLrnkEknSjh07NGLECKWkpKi5uVkOh0OVlZUaPHhwtxYcqsbGRiUnJ6uhoUFJSUl2l4NIVFEhFRRIaWnSgQP+12MAQJzpzG9o0FMkDQ0NcrlcLc9ffvllDRkyRHv27NG+ffs0YsQILVy4sOtVA5Fi3Trz/sorCRcA0EVBB4zMzEwdbHXuf0VFhf75n/9ZTqdTiYmJKi4u1ltvvdUtRQJh5b3eyJVX2lsHAESxoANGQUFBy/qLPXv2aPv27Ro/fnzL8XPOOUfV1dXWVwiEU3W19NlnUkKCNG6c3dUAQNQKepHn3Llz9ZOf/ERDhgzR0aNH5XK5NGbMmJbjtbW16tOnT7cUCYTN+vXmfW6uNGCAvbUAQBQLOmBkZGToo48+0p/+9Cd99913uvPOO+VoNT/9zjvv6LzzzuuWIoGwYXoEACwRdMCQpLPPPltPPPGEz2Off/65Jk+ebElRgC2OH5f++7/NxwQMAAhJpwJGIC+//LJVbwXY48MPpcZGaeBAaeRIu6sBgKjGVuGAl3d6ZPx4c5EnAKDL+K8o4NV6/wsAQEgIGIAk1dRIf/+7+XjCBHtrAYAYQMAAJMm7SVxOjpSSYm8tABADCBiAxOmpAGAxAgbgdp8cwSBgAIAlCBjAxx9L334rJSdLP/2p3dUAQEwgYADe6ZFx46Qelm0NAwBxjYABcHoqAFiOgIH49s030tat5mMCBgBYhoCB+PbWW5JhSD/+sZSRYXc1ABAzmHBGfHK7pU2bpKefNp+PH29vPQAQYxjBQPwpL5eysqSxY82QIUkvv2y2AwAsQcBAfCkvlyZPlvbta9teX2+2EzIAwBIEDMQPt1uaNctcc3Eqb9vs2WY/AEBICBiIH5s2tR+5aM0wpOrqk9MmAIAuI2Agfhw8aG0/AIBfEREwlixZoqysLPXu3Vu5ubna6t2XoAPLli2Tw+HQ9ddf370FIjakp1vbDwDgl+0BY/ny5SoqKtL8+fO1fft2jRgxQhMmTNChQ4cCvu7rr7/WXXfdpfz8/DBViqiXny9lZkoOh+/jDofkcpn9AAAhsT1gPPnkk/rlL3+p6dOn64ILLtDSpUt1+umn6/nnn/f7GrfbrZtvvlkLFizQkCFDwlgtoprTKS1a5PuYN3SUlpr9AAAhsTVgHDt2TNu2bVNBQUFLW0JCggoKCrR582a/r/vDH/6glJQU3XbbbR1+RnNzsxobG9vcEMcKC6UVK9qPYmRmSitXmscBACGzdSfP+vp6ud1upaamtmlPTU3Vzp07fb7m/fff11/+8hdVVlYG9RklJSVasGBBqKUilpxzjnnGyOmnS88+a24Rnp/PyAUAWMj2KZLOOHz4sG655RY999xzGjhwYFCvKS4uVkNDQ8uturq6m6tExHvvPfP+ssukm2+WLr+ccAEAFrN1BGPgwIFyOp2qra1t015bW6u0tLR2/b/88kt9/fXXmjhxYkubx+ORJPXo0UO7du3SOeec0+Y1iYmJSkxM7IbqEbW8+1ywmBMAuo2tIxi9evVSTk6OKioqWto8Ho8qKiqUl5fXrv/555+vTz75RJWVlS236667TmPHjlVlZaVcLlc4y0c0MoyTIxiXXmpvLQAQw2y/mmpRUZGmTZumkSNHavTo0SotLVVTU5OmT58uSZo6daoyMjJUUlKi3r17a9iwYW1e369fP0lq1w74tGuXVFcn9e4tjRxpdzUAELNsDxhTpkxRXV2d5s2bp5qaGmVnZ2vdunUtCz/37t2rhISoWiqCSOadHsnNlZg6A4Bu4zAMX1d+il2NjY1KTk5WQ0ODkpKS7C4H4XbLLdJ//Id0//3SH/5gdzUAEFU68xvK0ADiC+svACAsCBiIH3v2SHv3mqek/vSndlcDADGNgIH44V1/kZMj9eljby0AEOMIGIgf3ukR9r8AgG5HwED88I5gsP4CALodAQPx4dAhyXt9mzFj7K0FAOIAAQPxwTt6MWyYNGCAvbUAQBwgYCA+MD0CAGFFwEB8YP8LAAgrAgZiX0ODVFlpPuYMEgAICwIGYt8HH5hXUT3nHGnwYLurAYC4QMBA7GN6BADCjoCB2Odd4Mn0CACEDQEDse1//1fautV8zAgGAIQNAQOxbcsW6fhxKT1dGjLE7moAIG4QMBDbWu9/4XDYWwsAxBECBmIbCzwBwBYEDMSu48fNU1QlFngCQJgRMBCb3G7pz3+WjhyR+vSRzj/f7ooAIK4QMBB7ysulrCzpt781n3//vbnAs7zc1rIAIJ4QMBBbysulyZOlffvatu/fb7YTMgAgLAgYiB1utzRrlrkt+Km8bbNnm/0AAN2KgIHYsWlT+5GL1gxDqq4+eeoqAKDbEDAQOw4etLYfAKDLCBiIHenp1vYDAHQZAQOxIz9fysz0v2OnwyG5XOyJAQBhQMBA7HA6pUWLfB/zho7SUrMfAKBbETAQWwoLpYceat+emSmtXGkeBwB0ux52FwBY7vTTzfu8PGnmTHPNRX4+IxcAEEYEDMSerVvN+6uvlm680d5aACBOMUWC2OMNGKNH21sHAMQxAgZiyzffSF9+aT4eOdLeWgAgjhEwEFs++si8P/dcacAAe2sBgDhGwEBsYXoEACICAQOxhYABABGBgIHYYRgEDACIEAQMxI49e6S6OqlHDyk72+5qACCuETAQO7yjFyNGSL1721sLAMQ5AgZih/cMEqZHAMB2BAzEDtZfAEDEIGAgNpw4IX38sfmYgAEAtiNgIDbs2CEdOSL17SsNHWp3NQAQ9wgYiA3e6ZGRI7lqKgBEAAIGYgPrLwAgohAwEBsIGAAQUSIiYCxZskRZWVnq3bu3cnNztdX7Y+HDc889p/z8fPXv31/9+/dXQUFBwP6IA0eOSJ98Yj4mYABARLA9YCxfvlxFRUWaP3++tm/frhEjRmjChAk6dOiQz/4bN27UjTfeqA0bNmjz5s1yuVwaP3689u/fH+bKETH+/nfJ7ZbS06WMDLurAQBIchiGYdhZQG5urkaNGqXFixdLkjwej1wul2bOnKk5c+Z0+Hq3263+/ftr8eLFmjp1aof9GxsblZycrIaGBiUlJYVcPyLAH/8oFRVJkyZJr79udzUAELM68xtq6wjGsWPHtG3bNhUUFLS0JSQkqKCgQJs3bw7qPY4cOaLjx49rwIAB3VUmIp13imzUKHvrAAC06GHnh9fX18vtdis1NbVNe2pqqnbu3BnUe9xzzz0aPHhwm5DSWnNzs5qbm1ueNzY2dr1gRCYWeAJAxLF9DUYoFi5cqGXLlmnVqlXq7efiViUlJUpOTm65uVyuMFeJblVfL331lfl45Eh7awEAtLA1YAwcOFBOp1O1tbVt2mtra5WWlhbwtY8//rgWLlyot956S8OHD/fbr7i4WA0NDS236upqS2pHhPBe4Oy886T+/e2tBQDQwtaA0atXL+Xk5KiioqKlzePxqKKiQnl5eX5f9+ijj+rBBx/UunXrNLKD/2tNTExUUlJSmxtiCNMjABCRbF2DIUlFRUWaNm2aRo4cqdGjR6u0tFRNTU2aPn26JGnq1KnKyMhQSUmJJOmRRx7RvHnzVFZWpqysLNXU1EiS+vTpoz59+tj2d8AmBAwAiEi2B4wpU6aorq5O8+bNU01NjbKzs7Vu3bqWhZ979+5VQsLJgZann35ax44d0+TJk9u8z/z58/XAAw+Es3TYzTAIGAAQoWzfByPc2AcjhlRVSUOGSD17So2Nkp+FvgAAa0TNPhhASLyjFyNGEC4AIMIQMBC9mB4BgIhl+xoMoNPcbmnTJmnNGvM5+18AQMRhBAPRpbxcysqSxo6Vdu0y24qLzXYAQMQgYCB6lJdLkydL+/a1bT90yGwnZABAxCBgIPK43dLGjdIrr5j3brd5mzXLPDX1VN622bPNfgAA27EGA5GlvNwMEq1HKTIzpV/+sv3IRWuGIVVXm2szLr+828sEAARGwEDk8E6BnDpKsX+/NH9+cO9x8KD1dQEAOo0pEkSGYKZAgpGebl1NAIAuYwQDkWHTpsBTIB1xOMyplPx862oCAHQZIxiIDJ2Z2nA4fD8vLZWcTstKAgB0HQEDkSHYqY0FC6SMjLZtmZnSypVSYaH1dQEAuoSLnSEyuN3mBlr79/tec+GdAqmqMp9v2mSOeqSnm9MijFwAQLfrzG8oazAQGZxOadEi8yySU/maAuFUVACIaEyRIHIUFkp33dW+nSkQAIg6jGAgsnzzjXl/ww3mjSkQAIhKBAxEDo9HWrvWfPzrX0vjxtlbDwCgy5giQeSorJRqaqQzzpAuvdTuagAAISBgIHKsWWPejxsnJSbaWwsAICQEDEQOb8C45hp76wAAhIyAgchQVydt3Wo+vvpqe2sBAISMgIHI8Ne/mhts/eQn0uDBdlcDAAgRAQORgekRAIgpBAzY7/hxaf168zEBAwBiAgED9vvgA6mhQRo4UBo1yu5qAAAWIGDAft7pkauuYsdOAIgRBAzYj/UXABBzCBiw19dfS59/bo5cTJhgdzUAAIsQMGAv7+jFJZdI/frZWgoAwDoEDNjLGzDYXAsAYgoBA/Y5ckTasMF8zPoLAIgpBAzY5513pKNHpbPOki680O5qAAAWImDAPq3PHnE47K0FAGApAgbsYRjS2rXmY6ZHACDm9LC7AMQht1t6+WVp716pZ0/p0kvtrggAYDFGMBBe5eVSVpZ0663m8+PHpQsuMNsBADGDgIHOcbuljRulV14x793u4F9bXi5Nnizt29e2ff9+s52QAQAxg4CB4HlHH8aOlW66ybzPymobDPwFELdbmjXLXHtxKm/b7NmdCywAgIjFGgwExzv6cGpA8I4+rFxpPp81q+0IRWamtGiRNGBA+5GL1gxDqq6WNm2SLr/c8vIBAOFFwEDHOhp9cDikX/1K+vZb3wHkhhukH/wguM86eDD0egEAtiNgoGObNnU8+vDNN/6PSVJVVXCflZ7eudoAABGJgIGT3G4zTBw8aP7Q5+ebVzm1alShf3/pu+98j4Q4HOZ0Sn6+NZ8FALAVASNW+AsHwfYpL/e9fuLXv5beeMOaGqdNM9djOBxtQ4Z3F8/S0vY1AwCiksMwfP3vZOxqbGxUcnKyGhoalJSUZHc5wetKOFi0SCos7LiP5HsBp9U2bDDXaZxah8tlhgtvrQCAiNSZ31ACRjh0NLrQ0fGuhAPvqID37A5/fQxDOvNM/2soJOmMM6RHHpFmzjSfnzr64H0PX4s8vX0yM811GE5ncKMtAICIQ8AIwPKAEUo4KCwM7nhXw4HDIWVkmI8DLdIMRkejD5JZp+R7+mPlSkYoACDKdeo31IgAixcvNs4++2wjMTHRGD16tLFly5aA/VesWGEMHTrUSExMNIYNG2asWbMm6M9qaGgwJBkNDQ2hlm0Yr71mGJmZhmH+pJq3zEyz3Xvc4Wh7XDLbHA7D+P3vAx9fsaL9+9t1Kysz/6YTJwxjwwbz+YYN5vNA34fLdfL7AABEtc78hto+grF8+XJNnTpVS5cuVW5urkpLS/Xqq69q165dSklJadf/gw8+0KWXXqqSkhJde+21Kisr0yOPPKLt27dr2LBhHX6eZSMYgUYWzD9MKioKPHKQkCB5PP6P9+xpXqsjEmzYENwGWEx/AEDMiqopktzcXI0aNUqLFy+WJHk8HrlcLs2cOVNz5sxp13/KlClqamrSm2++2dL205/+VNnZ2Vq6dGmHn2dJwHC7zS2yA4WHSAoHoTh1/QQAIG515jfU1muRHDt2TNu2bVNBQUFLW0JCggoKCrR582afr9m8eXOb/pI0YcIEv/2bm5vV2NjY5hayjjaekiIjXHjDQWbmyZEVX33OPNO8P7UPp48CALrI1oBRX18vt9ut1NTUNu2pqamqqanx+ZqamppO9S8pKVFycnLLzeVyhV54OLezHjQotHCwaNHJs0389Xn2WXMRpndBqFdmJoszAQBdEvNXUy0uLlZDQ0PLrbq6OvQ3DXY760DhQDJHBQKFB5dLeuqpk89PPS4FFw4KC4Pr8/XX5lqLsjLzvqqKcAEA6BJbd/IcOHCgnE6namtr27TX1tYqLS3N52vS0tI61T8xMVGJiYnWFOyVn2/+OO/fH3jfhyeflH72M/87VxYVSY8/HnhnS2848HUqa+vNqSZNCry4srCw4z5OJ1cyBQBYwtYRjF69eiknJ0cVFRUtbR6PRxUVFcrLy/P5mry8vDb9Jentt9/2279bOJ0dTzuUlp68jLm/kYNHHw1uaiKY0QVvOLjxRvPe15qJYPoAAGAB288iWb58uaZNm6ZnnnlGo0ePVmlpqVasWKGdO3cqNTVVU6dOVUZGhkpKSiSZp6ledtllWrhwoa655hotW7ZMDz/8cPhPU5V8b5Lla9vrUHfyBAAgAnTmN9T2i51NmTJFdXV1mjdvnmpqapSdna1169a1LOTcu3evEhJODrRcfPHFKisr09y5c3Xvvffq3HPP1euvvx5UuLBcMNMOUsdTD0xNAABijO0jGOEWtRc7AwDAZlGzDwYAAIhNBAwAAGA5AgYAALAcAQMAAFiOgAEAACxHwAAAAJazfR+McPOelWvJVVUBAIgj3t/OYHa4iLuAcfjwYUmy5qqqAADEocOHDys5OTlgn7jbaMvj8ejAgQPq27evHIGudNoJjY2Ncrlcqq6uZvMui/CdWo/v1Fp8n9bjO7VWd3yfhmHo8OHDGjx4cJtdtn2JuxGMhIQEZWZmdst7JyUl8S+FxfhOrcd3ai2+T+vxnVrL6u+zo5ELLxZ5AgAAyxEwAACA5QgYFkhMTNT8+fOVmJhodykxg+/Uenyn1uL7tB7fqbXs/j7jbpEnAADofoxgAAAAyxEwAACA5QgYAADAcgQMAABgOQKGBZYsWaKsrCz17t1bubm52rp1q90lRa333ntPEydO1ODBg+VwOPT666/bXVJUKykp0ahRo9S3b1+lpKTo+uuv165du+wuK6o9/fTTGj58eMvmRXl5efrrX/9qd1kxY+HChXI4HJo9e7bdpUStBx54QA6Ho83t/PPPD3sdBIwQLV++XEVFRZo/f762b9+uESNGaMKECTp06JDdpUWlpqYmjRgxQkuWLLG7lJjw7rvvasaMGfrwww/19ttv6/jx4xo/fryamprsLi1qZWZmauHChdq2bZs+/vhj/dM//ZMmTZqkzz77zO7Sot5HH32kZ555RsOHD7e7lKh34YUX6uDBgy23999/P+w1cJpqiHJzczVq1CgtXrxYknmtE5fLpZkzZ2rOnDk2VxfdHA6HVq1apeuvv97uUmJGXV2dUlJS9O677+rSSy+1u5yYMWDAAD322GO67bbb7C4lan3//fe66KKL9NRTT+mhhx5Sdna2SktL7S4rKj3wwAN6/fXXVVlZaWsdjGCE4NixY9q2bZsKCgpa2hISElRQUKDNmzfbWBngW0NDgyTzBxGhc7vdWrZsmZqampSXl2d3OVFtxowZuuaaa9r89xRd949//EODBw/WkCFDdPPNN2vv3r1hryHuLnZmpfr6erndbqWmprZpT01N1c6dO22qCvDN4/Fo9uzZuuSSSzRs2DC7y4lqn3zyifLy8nT06FH16dNHq1at0gUXXGB3WVFr2bJl2r59uz766CO7S4kJubm5evHFFzV06FAdPHhQCxYsUH5+vj799FP17ds3bHUQMIA4MWPGDH366ae2zMXGmqFDh6qyslINDQ1auXKlpk2bpnfffZeQ0QXV1dWaNWuW3n77bfXu3dvucmLCVVdd1fJ4+PDhys3N1dlnn60VK1aEdRqPgBGCgQMHyul0qra2tk17bW2t0tLSbKoKaO/OO+/Um2++qffee0+ZmZl2lxP1evXqpR/+8IeSpJycHH300UdatGiRnnnmGZsriz7btm3ToUOHdNFFF7W0ud1uvffee1q8eLGam5vldDptrDD69evXT+edd552794d1s9lDUYIevXqpZycHFVUVLS0eTweVVRUMB+LiGAYhu68806tWrVK77zzjn7wgx/YXVJM8ng8am5utruMqHTFFVfok08+UWVlZctt5MiRuvnmm1VZWUm4sMD333+vL7/8Uunp6WH9XEYwQlRUVKRp06Zp5MiRGj16tEpLS9XU1KTp06fbXVpU+v7779uk7KqqKlVWVmrAgAE666yzbKwsOs2YMUNlZWV644031LdvX9XU1EiSkpOTddppp9lcXXQqLi7WVVddpbPOOkuHDx9WWVmZNm7cqPXr19tdWlTq27dvuzVBZ5xxhs4880zWCnXRXXfdpYkTJ+rss8/WgQMHNH/+fDmdTt14441hrYOAEaIpU6aorq5O8+bNU01NjbKzs7Vu3bp2Cz8RnI8//lhjx45teV5UVCRJmjZtml588UWbqopeTz/9tCTp8ssvb9P+wgsv6Be/+EX4C4oBhw4d0tSpU3Xw4EElJydr+PDhWr9+vcaNG2d3aYAkad++fbrxxhv1zTffaNCgQRozZow+/PBDDRo0KKx1sA8GAACwHGswAACA5QgYAADAcgQMAABgOQIGAACwHAEDAABYjoABAAAsR8AAAACWI2AAAADLETAAAIDlCBgAbPPv//7vOnDgQMvzu+66S9dff73Pvs8//7x27twZpsoAhIqAAcAWu3fv1j333KP+/fu3tFVWVio7O9tn/y1btnA5dCCKEDAA2OKNN97QuHHj2lzV9X/+53/8BoxJkyZp9erVYaoOQKgIGABs8cYbb+i6665reb5v3z7V19e3BIzvvvtOEydO1JgxY1RTU6MrrrhCtbW1+vTTT22qGEBnEDAAhF19fb0+/PBDXXvttS1tlZWV6tevn7KysvTJJ59o1KhRysjI0IYNG5SWlqbExESNHz+eUQwgShAwAITdm2++qZEjRyo1NbWlrbKyUiNGjFBZWZkuu+wy3X333Vq6dKl69uzZ0odpEiB6OAzDMOwuAkB8+dnPfqbhw4dr7ty5LW2TJ0/WO++8I0las2aN8vLy2r2urq5OqampOnTokAYOHBi2egF0HiMYAMIuKytLVVVVbdoqKytVWFioo0eP6rvvvvP5uqqqKvXr10/9+vXr/iIBhKSH3QUAiD+TJk3SDTfcII/Ho4SEBB0+fFhfffWVXn31VV188cX6l3/5F33wwQe68MIL27xu9erVuvrqq9WjB//pAiIdIxgAwi4vL0+GYWjLli2SzNNTnU6nLrjgAt1666267bbbNHHiRNXX17d53erVqzVp0iQ7SgbQSQQMAGGXkJCga6+9Vm+88YYkc3rk/PPPV2JioiTpscce09ChQ1VYWKhjx45JMqdHdu3apSuvvNK2ugEEj0WeAGyxevVqzZkzR59//nlQ/RctWqS1a9dq/fr13VwZACswggHAFuPGjdOePXu0e/fuoPqvXr26zcZcACIbIxgAAMByjGAAAADLETAAAIDlCBgAAMByBAwAAGA5AgYAALAcAQMAAFiOgAEAACxHwAAAAJYjYAAAAMsRMAAAgOUIGAAAwHL/HwdIq96SjNvqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,4))\n",
    "plt.plot(avk, S, 'ro-')\n",
    "plt.xlabel(r\"$\\langle k \\rangle$\")\n",
    "plt.ylabel(\"$S$\")\n",
    "# plt.savefig(\"S_vs_avk.png\", dpi=600)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7b1f310-ab6a-4c88-8ee3-82fc35c20c17",
   "metadata": {},
   "source": [
    "### 编程实践：计算ER随机网络的其他连通分量的平均大小"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "id": "d9ce1c4c-aa25-478e-879b-2701ffb1aa0c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_mean_size_connected_component_networkx(n, avki, samples):\n",
    "    s0 = 0\n",
    "    for i in range(samples):\n",
    "        m = int(n*avki/2)\n",
    "        G = nx.gnm_random_graph(n, m)\n",
    "        Gcc = sorted(nx.connected_components(G), key=len, reverse=True)\n",
    "        mean_size = np.mean([len(gcci) for gcci in Gcc[1:]])\n",
    "\n",
    "        s0 += mean_size\n",
    "    \n",
    "    return s0/samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "6fa472c0",
   "metadata": {},
   "outputs": [],
   "source": [
    "n, samples = 1000, 10\n",
    "avk = np.linspace(0, 5, 51)\n",
    "\n",
    "S = []\n",
    "for avki in avk:\n",
    "    sp = get_mean_size_connected_component_networkx(n, avki, samples)\n",
    "    S.append(sp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "id": "d0a3ee82-29f8-4664-b941-adf28be9dffa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$\\\\langle S \\\\rangle$')"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,4))\n",
    "plt.plot(avk, S, 'ro-')\n",
    "plt.xlabel(r\"$\\langle k \\rangle$\")\n",
    "plt.ylabel(r\"$\\langle S \\rangle$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83313752-4360-4259-8081-569565941bd5",
   "metadata": {},
   "source": [
    "## 作业2\"：全球航线网络与具有相同节点和连边数的ER随机网络的度分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "id": "907ffe28-76f0-4497-a6a3-9fec981e9cc7",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame([\n",
    "        ('World air transportation', '', 'openflights_world.edges.gz'),\n",
    "    ],\n",
    "    columns=['Name', 'Type', 'File'],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "bd2ebb67-97d9-46df-8562-28d22204b1b1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "World air transportation\n",
      "3179 18617\n"
     ]
    }
   ],
   "source": [
    "updates = []\n",
    "for idx, row in df.iterrows():\n",
    "    fname = row['File']\n",
    "    print(idx)\n",
    "    if 'graphml' in fname:\n",
    "        G = nx.read_graphml(fname)\n",
    "    else:\n",
    "        graph_class = nx.DiGraph() if 'D' in row['Type'] else nx.Graph()\n",
    "        data_spec = [('weight', float)] if 'W' in row['Type'] else False\n",
    "        G = nx.read_edgelist(fname, create_using=graph_class, data=data_spec)\n",
    "print(nx.number_of_nodes(G), nx.number_of_edges(G))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "id": "01d53d94-4589-438b-b42b-836d6d3ac31e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义求度分布的函数：舍弃概率为零的那些值\n",
    "def get_pdf2(G, kmin, kmax):\n",
    "    k = list(range(kmin, kmax+1))  # 获取所有可能的度值\n",
    "    N = len(G.nodes())\n",
    "    \n",
    "    new_k = []\n",
    "    Pk = []\n",
    "    for ki in k:\n",
    "        c = 0\n",
    "        for i in G.nodes():\n",
    "            if G.degree(i) == ki:  \n",
    "                c += 1 \n",
    "        if c > 0:\n",
    "            new_k.append(ki)\n",
    "            Pk.append(c/N)    \n",
    "    Pck = [sum(Pk[i:]) for i in range(len(Pk))] # 累积度分布\n",
    "    \n",
    "    return new_k, Pk, Pck"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "id": "0b849b29-6441-4e9a-9d87-5bf28311b465",
   "metadata": {},
   "outputs": [],
   "source": [
    "GER = nx.gnm_random_graph(nx.number_of_nodes(G), nx.number_of_edges(G))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "id": "73391db3-b34e-49d0-bc1b-ff4e945c510b",
   "metadata": {},
   "outputs": [],
   "source": [
    "deg = [G.degree(i) for i in G.nodes()]\n",
    "kmin, kmax = min(deg), max(deg)\n",
    "\n",
    "\n",
    "deg2 = [GER.degree(i) for i in GER.nodes()]\n",
    "kmin2, kmax2 = min(deg2), max(deg2)\n",
    "\n",
    "\n",
    "k, Pk, Pck = get_pdf2(G, kmin, kmax)\n",
    "k2, Pk2, Pck2 = get_pdf2(GER, kmin2, kmax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "id": "f511bb90-dd5a-42ac-b03a-c53edf96e99f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "\n",
    "plt.subplot(131)\n",
    "plt.plot(k, Pk, 'ro-', label='World air transportation')\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$k$\")\n",
    "plt.ylabel(\"$p_k$\")\n",
    "\n",
    "\n",
    "plt.subplot(132)\n",
    "plt.plot(k2, Pk2, 'bs-', label='ER')\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$k$\")\n",
    "plt.ylabel(\"$p_k$\")\n",
    "\n",
    "\n",
    "plt.subplot(133)\n",
    "plt.plot(k, Pck, 'ro-', label='World air transportation')\n",
    "plt.plot(k2, Pck2, 'bs-', label='ER')\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel(\"$k$\")\n",
    "plt.ylabel(\"$p_k$\")\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "98dc7faf-b94b-43cf-a2d9-022972d90749",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "complex_network_two",
   "language": "python",
   "name": "complex_network_two"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  },
  "vscode": {
   "interpreter": {
    "hash": "12cf4d0b9b7b18c55261077a6853aabe6f033db06abf1184072cd2e823f414c8"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
